The function f(x) = (6/120) x + 40
= 0.05x + 40 where x is the excess mileage over 100
If we drive it for 300 miles x will be 300-100 = 200
so cost will be 0.05*200 + 40
= 10+40 = $50 answer
y=3x+1
Use the slope-intercept form to find the slope and y-intercept
The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Find the values of m
and b using the form y=mx+b
.
m=3
b=1
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 3
Y-Intercept: 1
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
Choose 0
to substitute in for x
to find the ordered pair.
Replace the variable x
with 0
in the expression.
f(0)=3(0)+1
Simplify the result.
Tap for more steps...
1
The first point is (0,1)
.
(0,1)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
Replace the variable x
with 1
in the expression.
f(1)=3(1)+1
Simplify the result.
Multiply 3
by 1
.
f(1)=3+1
Add 3
and 1
.
f(1)=4
The final answer is 4
.
4
The second point is (1,4)
.
(1,4)
Create a table of the x
and y
values.
xy0114
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
Y-Intercept: 1
xy0114
Point slope form is y-0=5(x-4). In y=mx+b form it's y= 5x-20 if you need to graph it.
X+y=-1
x-3y=11
------------- (subtract equation)
4y = -12
y = -12/4
y= -3
-------------- (substitute y)
x-3=-1
x=-1+3
x=2
Answer ----> A (2,-3)
-5x-3y=12
x-3y=-6
you want to multiply the top equation by -1 to swap the signs and make the x's positive like the bottom equation
5x+3y=-12
x-3y=-6
then you have to multiply every value in the bottom equation by 5 so you are able to subtract it from the top equation
5x+3y=-12
5x-15y=-30
---------------- (subtract)
18y=18
y=18/18
y=1
------------------ (substitute y)
x-3=-6
x=-6+3
x=-3
answer = (-3,1)
Answer:
Step-by-step explanation:
48 is preimeter
96 is the area
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